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Finding the Fourth Proportional to 390,239.15, 584,892.80 and 200,790.27

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Solution

The fourth proportional to 390,239.15, 584,892.80 and 200,790.27 is: 300,945.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,239.15 : 584,892.80 = 200,790.27 : x
  2. Step 2: Convert to fraction form
    390,239.15/584,892.80 = 200,790.27/x
  3. Step 3: Cross multiply
    390,239.15x = 584,892.80 × 200,790.27
  4. Step 4: Simplify right side
    390,239.15x = 117,440,782,982.07
  5. Step 5: Solve for x
    x = 117,440,782,982.07/390,239.15
  6. Step 6: Final answer
    x = 300,945.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.